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What is the slope of the line that is perpendicular to the line shown on the graph?

What is the slope of the line that is perpendicular to the line shown on the graph-example-1

1 Answer

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The line passes through point (0,2) and (4,1)

The slope of the line = Change in y ÷ Change in x

Slope(m) = (2 - 1) ÷ (0 - 4) = 1/-4 =
-(1)/(4)

Product of two perpendicular lines should be -1

Let the slope of the perpendicular line, to our line, be x

So x × -1/4 = -1

x = -1 ÷ -1/4 = 4

The slope (x) of the perpendicular line is 4

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